Label Class Class size Class degree Base field Field degree Field signature Conductor Conductor norm Discriminant norm Root analytic conductor Bad primes Rank Torsion CM CM Sato-Tate $\Q$-curve Base change Semistable Potentially good Nonmax $\ell$ mod-$\ell$ images $Ш_{\textrm{an}}$ Tamagawa Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
108300.2-i3 108300.2-i $4$
$6$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
108300.2
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 5^{36} \cdot 19^{6} \)
$2.80774$
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1[2] $4$
\( 2^{5} \cdot 3^{4} \)
$1$
$0.010751404$
3.575420080
\( \frac{10993009831928446009969}{3767761230468750000} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -463231 a + 463231\) , \( 77449961\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-463231a+463231\right){x}+77449961$
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*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
